225102006 has 48 divisors (see below), whose sum is σ = 527295600. Its totient is φ = 69159744.

The previous prime is 225101993. The next prime is 225102041. The reversal of 225102006 is 600201522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 225102006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3760 + ... + 21548.

It is an arithmetic number, because the mean of its divisors is an integer number (10985325).

Almost surely, 2^225102006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225102006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263647800).

225102006 is an abundant number, since it is smaller than the sum of its proper divisors (302193594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225102006 is a wasteful number, since it uses less digits than its factorization.

225102006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17853 (or 17850 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225102006 is about 15003.3998147087. The cubic root of 225102006 is about 608.3120999073.

Adding to 225102006 its reverse (600201522), we get a palindrome (825303528).

The spelling of 225102006 in words is "two hundred twenty-five million, one hundred two thousand, six".